@benjohn This is a sketch for the docs for my geometric algebra library. In GA, objects have “grades” that indicate their dimensionality, starting from grade-0 (a magnitude without direction), and going up from there. This diagram is meant to accompany some explanatory text that should (hopefully) make clear what’s happening.

@log I started that way, but found it too visually busy. The idea is to explain that rotation follows the direction of the head-to-tail arrows, which also makes it easy to explain how wedging in the other direction reverses the arrows.